SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

  • question_answer
    A building worth Rs. 133100 is constructed on land worth Rs. 72900. After how many years will the value of both be the same if land appreciates at 10% per annum and building depreciates at 10% per annum?

    A) 3

    B)  \[2\frac{1}{2}\]

    C)  2

    D)  \[2\frac{1}{4}\]

    Correct Answer: A

    Solution :

    \[72900{{\left( 1+\frac{10}{100} \right)}^{n}}=133100\times {{\left( 1-\frac{10}{100} \right)}^{n}}\] \[\therefore \]      \[{{\left( \frac{11}{10} \right)}^{n}}\times {{\left( \frac{10}{9} \right)}^{n}}=\frac{133100}{72900}=\frac{1331}{729}\] \[\therefore \]      \[{{\left( \frac{11}{9} \right)}^{n}}={{\left( \frac{11}{9} \right)}^{3}}\] \[\Rightarrow \]   \[n=3\]


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